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Read the following description of a data set. $\newline$ A property developer has a plan for a massive new amusement park but is unsure how many people might attend. To get a better sense of visitor numbers, she collected information from other amusement parks across the country.For each park, she noted the number of rides, $x$ , as well as the average daily attendance, $y$ .The least squares regression line of this data set is: $y = 446.926x + 680.249$ $\newline$ Complete the following sentence: $\newline$ If an amusement park had one more ride, the least squares regression line predicts the average daily attendance would increase by $\_\_\_$ .

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

A property developer has a plan for a massive new amusement park but is unsure how many people might attend. To get a better sense of visitor numbers, she collected information from other amusement parks across the country.For each park, she noted the number of rides,

x

, as well as the average daily attendance,

y

.The least squares regression line of this data set is:

y = 446.926x + 680.249

\newline

Complete the following sentence:

\newline

If an amusement park had one more ride, the least squares regression line predicts the average daily attendance would increase by

\_\_\_

.

Identify coefficient of $x$ : Identify the coefficient of $x$ in the least squares regression line equation. $\newline$ The coefficient of $x$ represents the change in the dependent variable ( $y$ , which is the average daily attendance) for each unit increase in the independent variable ( $x$ , which is the number of rides). $\newline$ The equation given is $y = 446.926x + 680.249$ , so the coefficient of $x$ is $446.926$ .
Interpret coefficient of $x$ : Interpret the coefficient of $x$ . The coefficient of $x$ ( $446.926$ ) indicates that for each additional ride (increase in $x$ by $1$ ), the average daily attendance ( $y$ ) is predicted to increase by $446.926$ visitors.
Answer based on interpretation: Answer the question based on the interpretation of the coefficient. $\newline$ Since the coefficient of $x$ is $446.926$ , if an amusement park had one more ride, the least squares regression line predicts the average daily attendance would increase by $446.926$ .

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